6x(x-1)=180

Solution for 6x(x-1)=180 equation:

6x(x-1)=180

We move all terms to the left:

6x(x-1)-(180)=0

We multiply parentheses

6x^2-6x-180=0

a = 6; b = -6; c = -180;
Δ = b2-4ac
Δ = -62-4·6·(-180)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-66}{2*6}=\frac{-60}{12}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+66}{2*6}=\frac{72}{12}
=6
$